Rendering AMD Radeon R7 360
The opencl support needed to use an AMD card is not 100%. The list of supported cards hasn't been updated for a while, with some other cards also being reported to work to varying degrees.

First check that your gpu drivers are up to date. The opencl libraries provide the list of available hardware that blender uses to offer available GPU options.

While I'm not sure if the devs are interested in bug reports relating to opencl, they generally appreciate reports of what hardware works and what doesn't.